m 



m 



m . 



BOOK OF 



BENDING ALLOWANCE TABLES 



ALUMINUM, COPPER, BRASS 
AND COLD ROLLED STEEL 



VARYING DEGREES AND RADI I 



EXPLANATORY NOTES 



COMPILED BY 
WARREN A.ROOKE, S.B. 



MASSACHUSETTS INSTITUTE OF TECHNOLOGY 



COPYRIGHT 1918 



WARREN A. ROOKE. 












A 









AUG 30 1.918 



4 6 H ; 



"*% \ 



INTRODUCTORY 

IN COMPILING THIS BOOK OF TABLES THE AUTHOR 
HAS FOUR AIMS. 



FIRST. 



TO ENABLE ANYONE TO OBTAIN 



EASILY AND CORRECTLY ANY REQUIRED 
FLAT PATTERN LENGTH. 

SECOND. TO SAVE TIME FOR BOTH DRAFTSMAN 
AND CHECKER BY ELIMINATING ALL CAL- 
CULATIONS. 

THIRO. TO AVOID DISCUSSION BETWEEN 

CHECKER AND DRAFTSMAN BY HAVING 
AUTHORITATIVE TABLES FOR INSTANT 
REFERENCE. 



FOURTH 



TO AVOID CONFUSING DRAFTSMAN 



BY SUBORDINATING THE EMPIRICAL 
FORMULA, AND PRESENTING CALCULATIONS 
IN THEIR SIMPLEST FORM. 



Mote. The. Following Table is &ased on Formula 
Btnoinc) Allowance. » ti(.0[75 R 4.0055G). 



Flat Patterm Lelmgths 

of ALurimuri Burr Aijgles 



OF 90°,.45M8% I5. 5cl°. 



WHtn Rapius^ Gauge 


ArtP THERE IS llo RElriFOKCENEriT. |! 


[Court 


;Col.#Z 


|C0L43| 


..#4 


lCoI.*5 


C0L.#6 


EbKowriE. 2 


11 = 
* 
UGE.. 


90° LE.MGTH. 1 1° LLhGTH. ! 


; 5HARPE. GA 


GAU6E 
: MO 


51ZEL 


JAPPKOX.! 
FkACT'N i| 


DlXIMAL 


AppkoxJ 
Fractn.J 


1 
DECIMAL. 


a 




.1265 


11/5 1- ! 


.26599 


'V644 


.002555 


: 2 


~ 


.1144 


7/Mt 


.23680 


'*/6<k; 


.002631 


l IC 




.1019 


!7/64-j 


.21093 


]%+H 


.0 02343 


11 


.0907 


mi- 


.16774 


^64- 1 


.0O2036 


! U 


.0808 


\sM+\ 


.16725 


"/64- 


.001853 


13 


.0720 


*/H-| 


.14904 


1^32- 


.001656 


14 


.06,41 


15/16 + 


.13266 


l/S* 


.001474 


15 


.0571 


l*/»6- 


.1 1619 


1/8- 


.001313 


16 


.050& 


i 3 A« + 


.10515 * 


764- 


.OOU6& 


17 


.0453 


1 3 A4-!i 


.09377 


V32 


.00104-19 


IS 


.0403 


i 3 /64- 


.06342 


5/64 4 


.0009269 


19 


.0353 


JV32 + 


.07431 


5/64- 


.OOOS257 


20 


.0320 


|>/32+-| 


.06624 


1/16+1 


.000736 


21 


.0285 


k/te- 


.05699 


1/16- 


.0006555 


22 


.0253 


«/3Z- 


.052^7 


3/64+ 


.OOOS&19 


23 


.0226 


'M+ 


.04678 


13/64- 


.0005198 


24 


.O201 


'/*H 


.04160 


3/64- 


.00046Z3 



#4 2^.5 a&ove.*— r^ 



/^Z. Number of Degrees 
fo/ irt Bemd 

^ — 1 5e.e. npTE 

^ * &E.LOW 



flGTH - DECIMAL IN C0L#4 ASOUE.& QPP05ITEPK0FfcKGAU<;£|| 



18° LENGTH ^ PECiriAL 111 COL. #4 ADOVE & OPPOSITE PKOPEfc GAUGE 



15° LENGTH ^ DECIMAL Irt C0L#4 ABOVE 4* OPPOSITE. PROPER GAIXJE 



Note.. Tok Length of Metal im Amy Other Angle Mot 
Given irt Standard Aero Tables, Multiply Decimal in 

C0L.#6 ABOVE, (AND 0PP051TE. FKOPER. GAU^eJdY 

The: Numbcr of Pe.CtK.e.e.3 im "&e.nd or Metal. 



., S.B. .5-24-18. 



Mote.. The. Following Table is 5ased on Formula 

(BENDING) ALLOWANCE. = N(.0I75R + .0055G) 



Flat Pattern Llmgths 

OF ALUMINUM BELMT ANGLES 
or 85° & 80° 

WHEM RADIU4- 6AU6E. AMD THfcKE, IS flO RE.inrORCE.MtMT 



CoLM.\CQL.tZ\Coiif2>. Col.#4. \Col*5. Col.*G.|Cqmi 

$H™£"G&c^. a5°LEhCTH. &0°LtttC,TH 
Gauge. I ^ IApprox. ~ IApprox. ~ IAppr 

n o. aizE,. f rac ™ Decimal. ifKAcnt Decimal, frac 



S5° LENGTH. 1 &0 o LLHCnTH 




- iPPROX. 

DE.CIMAL.rR.Acm 



.o&oa 

.0720 



23 .0226 

24 .OZOI 



%4- 

3/32- 
V&4+ 
•5/64- 



1/16 + 



'M- 



V64+ 
3/64- 



3 /64- 
»/32+ 
'/3Z + 
>/32- 



*/32~ 
»/64+- 
l /64+ 



.25117 */4 \ 

.22363 7/32-H 

.19915 13/64- j 

.17731 'l/641-i: 



.15793 ; , 
.14076 " 9/64 
.12529 I/& 



.11160 7/64- 
.09928 3/3 2 + II 



.08848 3/32- 

.07871 ^/64 

.07018 »/l6 + 

. 06256 1/16 

.05571 1/16- 



. 04945 3/64+ 
.04417 3/64- 
.03 928 3 / 6 4- 



_ IApprox. 

Decimal. Fkactti. 

.23640 ls /64 

.21048 13/64 + 

.18744 3/i6 

.16688 M/64- 



.14864 5/32- 
.13248 »/" 



.11792 \VZ- 



.10504 V64- 



.09344 3/32- 



♦ 08335 -y64-+ 

.07415 ^64- 

.06605 l //6 + 

.05888 '/16- 

.05244 V64+- 



. 04655 3/64 
. 04158 3/64- 
.03698 1/32+- 




W. A.ROoke-j 5. B. 7- 15-18 



Motl.The. Following Table, is Based on Formula 
(Sending) Allowance, =* M(.oi75 R +.OOS5Q). 



Whelm 


Flat Pattern Lengths 

or Aluminum Bemt Angles 

of 75° $< 70° 

Radius ■ Gauge, and There, is Mo Reinforcement. 


Col#1. 


Col.#2.Col.*3. 


Col.#4. 


Col.*5.| 


Col.#6. 


JC0L.#7. 


BR.OWME- £< 

5HARPE. Gauge.. 


75° LENGTH. 


70° Ll 


rtCVTTH. 


Gauge 


.SIZE. 


Appkox. 
Fractn. 


Decimal 


Approx. 
FrcAcnt 


DECIMAL 


Appkox. 

• fRACT'N. 


& 


.1285 


»/6+ 


.22162 


7/32-H 


.20685 


13/64+ 


9 


.1144 


7/641- 


. I 9 73Z 


12/64- 


.18417 


3 /lG- 


10 


.1019 


7/64- 


.17572 


»/64 + 


.1640! 


5/3Z + 


11 


.0907 


%2~ 


. 15645 


5/SZ "~ 


.14602 


7 9~g4~+ 


12 


.0808 


3/64* 


.13935 


9 /64- 


.13006 


!/8 + 


13 


.0720 


«Vg4- 


.12420 


'/*- 


.11592 


T/64-t- 


14 


.0641 


'/IG+ 


.11055 


^64+ 


.10318 


7/64- 


t5 


.057f 


«/l6- 


.09847 


•562 + 


.09191 


*ys2- 


IS 


.0508 


3 /64* 


.08760 


J /S2- 


.08176 


^64t- 


17 


.0453 


3/64- " 


.07814 


•5/64 


.07293 


-S/64- 


18 


.04£3 


V64- 


.06951 


'/I6+ 


.06488 


>/l6+ 


19 


.0359 


»y&2i- 


.06192 


J/l6~ 


.05779 


J/16- 


20 


.0320 


'/32+ 


.05520 


J/16- 


.05152 


3/64+ 


21 


.0285 


l /32- 


.04916 


•y64-»- 


.04588 


♦3/64- 


22 


.0253 


/32- 


.04364 


%4- 


.04073 


^64- 


25 


.0226 


»/G4+ 


.03898 


'/3Z+ 


.03638 


" V3Z + 


24 


.0201 


/G4f 


.03467 


/32 +■ 


.03236 


ysz 



































































W.A.Rookl ; 5.B. G-26-I& 



Pjote..Thel Following Table, is Based on Formula 
(Bending) Allowance. = M(.oi75R 4- .0055G) 



FLAT FATTE.KH LE.NGTH5 

OF ALUMINUM BE.NT ANGLES 
OF 65° & 60° 
Whe,m Radius - Gauge, and There is Mo Reinforcement. 


CoL.#I.COL.#Z.CoLi3. 


C0L.#4. C0L.t5. 


Court 6. Col+7 


E>kov 

5har 


pe. Gauge.. 


65° Length. 


60° Length. 


Gaoce 


3)ZE. 


Appro* 
Fract*n. 


DECIMAL. 


Appkox. 
FKAcrn. 


DECirlAL 


Appro* 
FRAcrn 


& 


.1285 


>/8 + 


.192 07 


3/16 + 


.17730 


11/64+ 


a 


.1144 


7/64+ 


.17101 


n/64 


J5766 


3/32 


10 


.1019 


7/64- 


,15229 


5/3Z~ 


.14056 


9/64 


11 


.O907 


3/32- 


.13559 


S/64- 


.12516 


ys 


IZ 


.0808 


5 /64+ 


.12077 


1/8- 


.11148 


%4+ 


13 


.0720 


-5/64- 


.10764 


%4- 


.09936 


V32+ 


14 


.0641 


'/l6 + 


.09581 


3/32+" 


.08844 


Z/3Z- 


15 


.057! 


*/l6- 


.08534 


^/64+ 


.07878 


5M 


16 


.0508 


3/64+ 


.07592 


"5/64- 


.07006 


V\<b+ 


17 


.0453 


•V64- 


.06772 


'/I6 + 


06251 


1/(6 


IS 


.0403 


3/64- 


.06024 


«7l6- 


.05561 


'/I6- 


19 


.0359 


1/32+ 


.05367 


3/64+ 


•04954 


3/G4+ 


20 


.0320 


V$z+ 


.047*4 


3/64 


V044I6 


3/^4-" 


21 


.0265 


VZL- 


.04260 


3/64- 


.03933 


3/64- 


22 


,0Z53 


V3Z- 


.0378 2 


V3Z + 


.03491 


»/32 + 


23 


.0226 


'/64+ 


.03378 


V32 + 


.03118 


«/32 


Z4 


.0201 


»/64+ 


.03004 


V3Z 


.0Z773 


V3Z- \ 













































































W.A.Rooke-,3.B. 6-Z4H8 



Note.. The. Following Table. 15 Based on Formula 
(Ben ding) Allowance. * H(.o\7sR + ,0055c,). 



Flat Pattlrm Llngths 



OF ALUMINUM BENT AN6LE.S 

OF 55°$<50 o 
Whem Radius* gauge amp There, is rio Reinforcement. 



:ol*1|Col.#Z|Col«| C0L.*4 Col.#5ICol.#6 Col.#7 



COL.lH|COL.#Z|COL.'t3 

Bkowme % 
5harpl gauge.. 



IGAUqE. «-,„„ ApPKOX. 



,12 85 M/6H 



.iH4 764-H 



.1019 #64- 



.0907 3 /32- 
.0808 3/64+ 



.0720 3/64-. 

.0641 I/16 + 

.0571 j/lfe- 

.05 08 3/6^-h 



.0453 ^64- 
.0403 3 /64- 
.0359 1&2- 



55° Length. 150° Length. 



; |App^x.| nFnMA| APPROX. 
"jrRAcrn 
.16252 I 5/32.+- I ! ,14775 "" 9/64+ ' 
.14470 3/64+ .13155 V& + 
.12886 " !/* + .11715 7/64+ 
.11473 7 /64t- .10430 %4- 



.10219 %4- .09290 %Z- 



09108 
08107 
07221 



06424 



05729 
05097 
04541 



7/64- 
3/32- 
5/64 
5/64- 
1/64 + 



»/l6~ 
*/64+ 
3/64- 



■08280 5 /64+ 

.07370 %4- 

.06565 Kl6 + 

.05240 '/I6- 



. 05209 3 /64+ 
. 04634 3 /64 
.04128 3/64- 



J .0285 j/32- .03605 '/32 + .03277 /32 + 

2.2 .0253 t/32- .03200 */32 + .02909 */32- 

23 .0226 J/S4 + .02858 «/32- .02599 '/3Z- 

24 .0201 '/64+| . 02542 ~ */32- .Q23I1 '/64+ 



6-i&-»8 



noTC. The FoLLowinc* Table. is Dajed oh Formula 
.btnDiriG) Allowance. - ft Cons R + .0055 g). 




Mote. The. Following Taslel 15 5asep on ^rmula 
(StnoiriG) Allowance. = li(.oi73 R +■ .oossG). 



r 


Flat Pattern 


LLMGTH3 




VVhem 


of ALimmur-t 5e 


NT AriGLE.5 


1£NT. 


of 

Kadi us *= Gauge 


"35° & 30° 

. AMD The.KX IS rlO KEIflFOKCLI 


Col.#I: 


Col.*2.Col*3.| 


Col. #4. 


|Col%5. Col,#6. 


CoISz 


Browne: & 


UGE., 


35 6 LENGTH. ! 30° Length. | 


»f>HA* 


;pf, Ga 




^)IZE.. 


AppkoxJ 

FkACT'Oj 


PtCIMAL. 


Appkox. _> 
• FFCACT'ri DECIMAL. 


Appkox. 
Fr-actYi 


& 


.I2&5 


1/At [ 


.10342 


?/64- .0S865 


3/3Z- 


9 


.1444 


7/64+T 


.09Z0& 


3 /3Z .07393 


5/64 


10 


.1013 


9&4^j 


.03Z00 


•5/64+ .07029 


«/l6^ 


11 


.0907 


3/3Z- 


.0730\ 


5/64- .0625S 


»/l6 


12 


.0&08 


5/64+ 


.06503 


'/I6-+ .05574 


»/!6- 


13 


.07Z0 


5/6 ^iT 


.05796 


1/16- .0496S 


3/64 + 


14 


.0641 


1/16 + 


.05153 


3/64+ .04422 


3/64- 


15 


.0571 


1/16"-]; 


.04535 


3/64 .03939 


3/64- 


16 


.050S 


W*?: 


•0405S 


3/64- .03504 


V3Z + 


; |y 


.04 53 


3^4- 


•03646 


V32+ .03YZ5 


Vsz 


1 IS 


.0403 


3/64- 


.03Z44 


*/3Z .0Z7S0 


*/3Z- 


i*-j 


.0359 


I/3Z+" 


.0ZS8$> 


*/3Z- .02477* 


V3Z~ 


! 20 


.0320 


1/32*- 


.0ZS7G 


V3Z- .ozzos 


1/64+ 


2! 


.0Z&5 


>/32- 


•02Z94 


»/644- .0J966 


^64 + 


1 22 


.0Z33 


»/32-~ 


.02.036 l ; 


»/64+ .01745 


, /64+ 


23 


.0226 


1/64+ 


.018)9 


1/64+ .01559 


»/64 


24 


.OZOI 


I/64+ 


.01616 


|/64 .0I3S6 


■/64- 


















" ' 1 l* 




































1 








I 

■■ 

1 ...'.■.. 

■ 



W,A.RooKt ; 5.B. 6-I4-J& 



Motel. The. Following Ta&le. 15 Based om tokmula 

(BtfiDlM^) ALLOWAMCE. = P1(.0I75 R + .0055G). 





Flat Pattlrm Lelmgths 






or Aluminum Bzht Amgle.5 




of Z5?$± 2£ 


Whcm Radius - ^auge. amp There »s flo Reinforcemeht. | 


Col.*1 C0L.42 Col.#3 COL.#4. Col.#5 


COL.tfG C0L#7 


DROWME. $<. 
5HARPE. GAUCE.. 


25° Llfigth. 


20° LENGTH. 


GA06E 
pjo. 


S)Z.E. 


Appkox. 

FRACT'fl 


DE.CINAL 


Approx. 

FRACrtl 


DECIMAL 


APPROX. 

Fkaotmh 


& 


.I2&5 


»/&+ 


-07,357 


fcEEB 




WE 


S 


.1144 


7/64 + 


.06577 


1/16 + 


.05262 


3/64-H 


10 


.1019 


7/64- 


.05657 


'/|6- 


,046*6 


V64 


11 


.0907 


•V32- 


.05215 


3 /64+ 


.04172 


3 /64- 


12 


.oao& 


^/64-*- 


.04645 


•3/64 


.03716 


«/32 + 


13 


.0720 


^64- 


.04140 


3/64- 


.03312 


'/32 + 


H 


.064( 


1/16 + 


.03685 


V32 + 


.02346 


»/32- 


15 


.0571 


Vl6- 


.032*2 


«/32 + 


.02626 


»/«- 


16 


.050& 


3/64+ 


.02920 


l /32- 


.02336 


/ , 64 + 


17 


.0453 


*M- 


.02604 


V32- 


.02023 


»/64+ 


18 


.0403 


•3/64- 


.023)7 


1/64 + 


.01553 


'/64 + 


IS 


.0359 


»/32 + 


.02064 


>/64 + 


.01651 


!/64 + 


20 


.0320 


'/32 + 


.01S40 


/64 + 


.01472 


!/64- 


21 


.OZ&S 


'/32- 


.OI63& 


»/64 + 


.01311 


1/64- 


22 


.0Z53 


*/3Z- 


.OI454 


l /64- 


.01163 


»/64- 


23 


.0Z2e 


1/64+ 


.01299 


"V64- 


.01039 


»/64- 


24 


.0201 


J/64+ 


.OJI55 


1/64- 


.00924 


»/64~ 















































































W.A.RopKE-^.B. 6404& 



rioTE.TnE. Following Table. 15 Based on Formula 
5E.riDina) Allowance. « h£oi75R +.00556). 



Flat PATTLKn LtnGTHS 


OF5TELLL BELHT ArfGLE.5 


OF 90°& 1". 

When Radius = Gauge and There is Ho Reinforcement. 


Col.#I COL.*Z C0L.*3 


Col.*4 Col.45| 


C0L.*6 


fc/Rtt INGHAM 
Wire. Gauge.. 


90° LL-M6TH. | 


1° LtttCTH. 


GAUGE < -,^ c Approx. 
Mo. a,ZE - FRAcrri. 


Decimal 


Approx. 
FrACT'H 


Decimal. 


Va .Z50 '/+ 


.51750 


33/ 6 4 + 


.005750 


4 .236 '^64+ 


.49266 


Vi- 


.005474 


5 .Z20 7 /3Z + 


.45540 


z*M+ 


.005060 


6 .Z03 ,3 /6+ 


4Z02I 


27/64- 


.004669 


3//G J&75 3/| fe 


3&&\Z 


25/64- 


.0O43IZ 


8 .165 «»/64- 


.34153 


M/3Z- 


.003795 


3 .K& 5 /32- 


.30636 


5/|6- 


.O03404 


.10 .13+ 9/64- 


.277*36 


3/32~ 


.003082 


II .120 »/&- 


.Z^&W 


»/4- 


.00Z7S0 


12 JOS 7/a+ 


.22563 


7/52 + 


.0OZ5O7 


13 .035 3/32 + 


.13665 


'3/64- 


.0021,65 


14 .063 5/64 + 


J7I&I 


M/64 


.001909 


15 .072 5/64- 


.14304 


5/32- 


.OOI636 


16 .063 I/J6 + 


.13455 


3/64- 


.001495 


17 .05& »/l6- 


JZ006 


»A- 


.001334 


16 .045 3/ 64i . 


.10143 


3/32 + 


.OOJIZ7 


IS .042 3/ 64 . 


.06694 


3/3Z- 


,000966 


1 20 .035 '/32 + 


.07ZA5 


5/64- 


.00O&O5 


21 .032 /3Z + 


.06624 


1/I6 + 


.QO0736 


22 .OZ& !/32- 


.05796 


»/l6- 


.000644 


23 ,025 V3Z- 


.05)73 


3/64+ 


.000575 


24 .02 2 !/64 + 


-04554 


3/64- 


.000506 


"*~T 90° /^-Mumber of Degrees 

/ /V J 5EF_C0L'5 / )^j 3 <f>EE. NOTE. 


/ *4 A 3 Above i — ■/■ — ^ ' de\LOW. 


Lencth of F5ent Metal. Length of Bent Metal. 


Mote.. For. Length or Metal in Amy other Angle, Mot 
gtvem i'm 3tamparp aero tables, multiply decimal m 
Col. #6 ae>ove,(and Opposite. "Pro per & auge.) by 
The. Number op Degrees in Bend op Metal. 



W.A.Rookl ; 5.B. 6-3-J6. 



Note. The. Foll.owing Table is Based on Formula 
^Be no mb) Allowance ^ nionSfe *.QQ55G) 



When £ 


Flat Pattern 


Lengths 


-EnENT. 


QF 
Jadius ■ 


Steel Bent 

Gauge, rno TrtEf 


Angles 


§0° 

5E is Mo Reinfo« 


COL*ICOL*e 


Col*3 Col.*4- 


|Col:*5 


Col,.*f6 


Col.*7 


BlEl*llN6MRt*I 


jge. 


85° Length 


§2° LENGTH | 


wire 


Gm 


Gauge 
ho. 


Sl£E 


ftppeox. , 


DECIMAL 


Approx 
FRACT'N 


DECIMAL 


^APPfco*. 
FfcRCT'N 


*• 


.250 


l^ .-48875 


*4+ + 


.4-600O 


% * " 


4- 


.238 


,5 /6^ + 


.46523 


,5 /32 + 1 


.45732 


%. 


5~~? 


J- zo 


%2 + 


.430 »o 


eSTe 


.404-80 


%. 


<o 


,eo3 


T ^u" " 


.39686 


25 /W + 


.37 352 


Jyt> 


3 A<b 


,1875 


v«, ~ 


.36652 


m*v 


| .34-436 


%i 


8 


: .16 5 ^ 


_%£f 


.32 257 


i^w- 


.3O360 


V 


9 


.14-8 


v 3Z - 


. 289 2>4 


%»-- 


T27232 


~W 


10 


,134- 


*44~~ 


.2^197 


fe~ 


.24656 


'/+ - 


H 


.120 


■/ 8 - 


.234-60 


,? /G4 


.22 080 


V& 


ia 


•l° 9 J 


7 44 


.2.1303^ 


J&Z 


.2oose 


'¥64- 


13 


.095 


V 3t + 


.18 5 7 2 


_!4fe 


J748Q 


'&*+" 


14 


.083 


5 /W+ 


.I622<b 


5 /32 + 


.15272 


%2" 


15 


oie 


S/W- 


.14076 


9 /64 


.13248 \ 


L^JL. 


16 


.065 


c* 


.. 12 707] 


% 


.I1960 | 


:mz: 


17 


.058 


rfe 


J 1 3 39 


, 7 /U + 


.10672 ; 


Vw.- 


18 


.04-3 


v«.t 


.09579 


Vzz 


.09OI6 


3 / 3Z , 


IS 


,042 


3 /64" 


.0821 1 


k 5 44+ 


.07728 


S /W 


20 


.035 


^2*~ 


.06042 j 


Vfc + 


.06440 j 


'/* 


2! 


.032 


V^ 


.06256 


J/ife... 


"To5888 


'/|6- 


22 


.028 


'/«> 


.05474- 


3 /W + 


s>s\sz\ 


Vt*+ 


23 


.-02,5 


*" %z - 


^04887 


3/ fe4 - 


.04-600 


su 


24 


.022 


'4* + 


.04-301 


,3 /U- 


.04-0^8 


*/fc4-- 































W.A.ROOKL, S.B. 7-15-18. 



Note. The Following Table \s &rsed on Formula 
(Bending) Allowance- N(.on5fc+ .005SG) 



Flat Pattern Lengths 



op Steel Bent Angles 
Of 75° * 70° 

When Radius » Gauge and Th£RE \* No Reinforcement 



WIE.E <3«u6e. 



GflUGE 



5>12E 



flPPROX 

Frrct'ii 



75° Length 70° Length 



^ I APPRO X. II __ jAPPROXl 

Decimal fr«ct»n Decimri fractn 



.250 

. 2.20 V&.+ 

.203 %4__ 

.1875 Vife 

•'SS "44.- 

.14-8^ iy^ 7 ! 

.134- 9/64.-1 



.07 2 5 /e<j.- 



.04-9 ^ t 

.042 3/U" 

,035 '/^ t- 

.032 I _|/g -t^ 

.026 '/»- 



24- | .022 1 '>U + |1 



.4-3125 
.4- 1 Q 55 
.37 950 
.350I7 
.3234Q 
.28462 
.25530 
.23US[ 
.20700 
.18802 
JG367 
.14-317 
.1242Q 
,11212 
.10005 
^8452" 
.07245 
.06037 
.05520 
.04830 
.04312_ 
.0 3795 



2, 44- 

l3 /U + " 
9 /U+ 

Vie- 



.4*02 50 

/383»8_ 

.3 5420 

.3 2683 

.30184- 

.26565 

^23828~ 

.21574- 

.19320 

.11549 

.15295 

.13363 

.11592 

.104-G5 

.09338 

.07889 

.06762 

.0 5635 

.05152 

.0 4-508 

.O4025 

.03542 



,7 /U 
,5 /U-+ 



W.A.ROOl^L, 5. B. 7-15-I& 



Note.. The Follow ins Table is Brsed on Formula 
(Bending) Allowance - N(.0I75 R f . 005 5 Gj 



Flat Pattern Lengths 



of Steel 



When Eadius = Gau<5e 



COL.*l 




Cou.*2 Col.^31 


Birmingham 




WlfcC 


5AUGE 


GftUGE 

No, 


Size 


RPPEjOX, 
FRHCTH 


^4 


.250 


\ 


4- 


.238 


%» + 


c 


9 pa 


7/., + 


3 




'3£ t 


6 


{ .203 


'*«■ 


% 


.1875 ' 


3 / lb 


8 


.16 5 


v- 


9 


.14-8 


*/*- 


10 


,|2>4- 


*u-l 


II 


,120 


'/6 - 


IE 


J 09 


T 4* 


'3* 


.©95 


v« + 


14 


.083 


s uA 


15 


.072 


%+-] 


IG 


.0G5 


*'* H 


17 


.058 


**- 


18 


.049 


L^Wtl 


19 


.042 


3 4*"j 


20 


,035 


>** H 


ai 


.0 32 


fci+ 


22 


.028 


'/,4~ 


23 


.025 


'/«- 


24- 


.022 


fc» + 



Bent Angles 
65° & 60' 



ano The re is No E E,iNFogcEmENT,|| 
1ol.*4 |CoL*5|Coi_.*6 |Col.*7 



65* Length II <oQ Q Length 



,30 346 
,2 8028 
.24GG7 
.22 126 
~20033 



J42Q2 

.12,408 

J0764 

,09717 

,066 7 1_ 

.07325 

.06279 

.052 32 

.0 4784 

.0 4l6fe 

.03737 

.03289 



FRRCT'N 

Zlz 



"/bit 



34 + 



FEACT* 



34- 500 ", 
32844- 2, /t4. 



28014- 


*ht 


25872 


"/<A~ 


22770 


■*w- 


20424- 


'^4- 


18492 


V,(,- 


IG5GO 


"/*- 


15042 


3k- 


I3IIQ 


'/* 


11454 


Vfe4 + 


09936 | 3 /32. + 


089 70 


%*- 


08004 


H** 


067G2 


Vfc-t 


0579b 


>' 


04-830 


3 /64- 



.044-16 
.0 3864 
.0 3450 
.03036 



'/32 




W.A.ROOKEL, 5.B. 7-15-18 



.LOWING tAfcJL 



BMbED ON 



VBenoino) Allowance. = h(. 



5R. + .0055G! 



!!k A I PftTTERN LENGTHS 
Qf 5te £l Bent Angles 
OF 55° & 50° 



jNMHEN 


CA0\U5 « GAOtaE AtlO ThECE 15 No 


Keinforce. 


ne.jvr. ;■ 


icoL.»rj 


coLifelcoL.*3|c:oL.*4. 


C0L.*5J 


;CoL.yG : 1Cql.»7| 


BiemmGHrtr-i 


iGE 1 55 ° LENGTH 


50° Length 


Wire Gai 


GAUGE 

No. 


State 


APPEOX _ | 

fractk Decimal 

i 


APPRO*. 1 

fract'n] 


_ 

Decimal 


APPROJU 
FKf\LT'H ! 


* 


.250 


W .31625 


.i>IIL±_ 


,2.8750 \ 


V 32 + 


4 


.238 


'%4. t .30107 


%n- 


vZt5lO 


,7 A* + 


5 


.220 


7 / 3i + .27830 


-%*-- 


. 2 5 3O0 1 


»/4> -h 


6 


.203 


«VU .25679 


</ 4 ^ 


.23345 ! 


"^J 


^b 


.1875 


Vj 6 [7.23716 


3fc*± 


,2l56oT 


^Z ~ 


~8~~i 


.165 


%*- ,20872 


,3 /u + 


,18975 


,v*. 


9 


.148 


s / 3 £ " .18722 


V, fc 1 


.17020 


%4 


I 10 


.134 


Vfe* ~ ,1 6951 


"44 


,154-10 


5 'K 


11 


.A t.0;, ! 


.•■'4i.--.rr vismd 


5k - 


,13800 


V(a 


12 


.109 •/ 


Vfe^ .1378a 


yt+-\ 


1 J 2 1 35"" 


'/8 


Mi- 


&9>5 


...M* + I2QI7 | 


1/& -I 


: .10925 


%* 


ll 


,083 j 


%j4 ,10499 


•%»- 


.09 545 


v* 


15 


,0 72 


5U- ,09108 


V 3 z 


.08280 


5 4 4 + 


16 


,065 


T /, b + .08222 


3U + 


,07475 


s '«- 


17 


,056 


'/j6 - .07 337 


_***- 


.06670 


M* + 


18 


.049 


3 /U + .06198 


T*^ 


.05635 i 


% - 


19 


.042. 


3 4*- .0 5313 


H** 


. 0^8 30~j 


V«r 


20 


,035 


«/ 3 _2 +1 .04-427 


3 Aa- 


,04025 


f*far- 


21 


.032 


h V 32 •» ,04048 


3 /^- 


t .0 3680 


1/11 + 


, p22 


.0 28 


'/« -I .03542 


Vk + 


; ,03220 


'/32 J 


23 


,0 25 


Viz "J .0 3 162 


1 x te 


,02875 


l /n - 


24 


.022 


Vfci'+.' .02 783 


V&A 


.02530 


tSl 



W.A.ROOKE., .5.B. 7-15-18. 



Note. The Following Table 15 Based on Formula 
{Jd ENOing) ftLLOWfttt^E '* M C 0115 R • 4» . 00^55 G; 



Flat Pattern Lengths 



op Steel Bent Angles 

OF -45° fc_-40 p 
When Radios* Gauge, a-no There i* no EEiNFoecemerrr, 



COL*l 


Col.* 2 


Col*3 Col.* 4- 


Col*5||Col.*£ 


|Col.*7! 


BIRMINGHAM 


4-5° Length 4-0 o Length 


Wire Gruge 


GAUGE 


C 1 -> 1— 


APP*oX. npriMQi 


[APPROXIItv,,^.^,., 


APPfcOX 


no. 


Z>12& 


FfcRCTH ^ECIMRL 


lEElE QaBHOHB 


F&RCrN 

4 


Y+. 


.a5o 


'/A .25615 


l7 /64 - 1 .23000 


'%- 


4- 


.238 


'*6* + .24-633 


'4. - .21896 


7 4i 


5 


.220 


7 /> 2 + .22170 


,5 /U - .20240 


•% 


6 


.203 


,d /fe4 .21010 


,3 /U+ .18616 


3 /.<. 


V.6 


.1615 


V, fe .194-04- 


V l6 + | .1124-8 


"/«. 


a 


.165 


'^W - .17017 


%*- .15180 


p/4,-1 


9 


.14-8 


5 /3^- . J 5318 


5/3Z - .13616 


'/«.- 


10 


.134- 


^j. - . 1 3869 


9/^.- .12328 


'4 


11 


.120 


V a - .124-20 


'/ fi j .11040 


'/<* 


12 


.109 


^ 1 .1 1281 


1 /(A- + .10O28 


%z+ 


13 


.095 


3 /32 + .09832 


3 /3Z f .08740 


Vfc- 



I 14 I .Q83 [ 5 /fe4.t .0859Q 

1 23 5 1 .0 12 s 44.- ,014-52 

I 16 pTo65 Vifci- .06727 

1 17 .058 '/ifc ~" .06003 

18 ; .04-9 , */U + .05OH 



%4,-h .076 36 >44 - _ 

^T- p06624- Mfe-*- 

' /)4, + j .05-980 '/fc-l 

'4fa ^ .053 36 3 >U-^ 

3/^.+ .O+50& %4. 



,042 3 /64.- .04-34-7 3 >U - .03864- 'Ai ■+" 



2 1 .035 I '/3£+ .03622 

1 ,Q32~~ '/ 32 -l- .03312 

22 ,Q28 V^z- ,02898 

23 .025 */\ z ~ .02587 

24 .02e V^* .02 277 



'/3Z f .03220 ^ 
'Sjl j .0*944 1 Al^ 

%Z ~ |7o2576 'M rr 

Vfo ~ .02300 l^-r 

'44+ .02024- ( 44-H 



W.A.ROOKL; 5.B. 7-15-18 



Note. The. Following Table \s> Based or* Formula 
IBewotrtfc) Allowbisce. — N(. 0175 S? >.0055e). 



Flat Pattern Lengths 



of Steel Bent Rh^les 
of 35°^ 30° 



jiWneM Radius -6ftooe. t\no There is No ReinforcemenTi 


CcL^l|CoL*e!CoL>3 


Coc. ^4- !Col*5 


Col. ^6 |Col.*7 


BieniNGHfln 




35° LENGTH 


— — — . 
30'LENGTH 


j VNlfcE. GfluSE 


GftUGE. 

No. 


SI2.E 


Fewer* 


Decimal 


APPRO* , 
Frrct'n. 


DECIMAL 


RPPfcox. 
Fbrct'H 


fc 


.250 


'4 


; .20125 


l3 /64 


.17250 


'V 


* 


.238 


■w 


, .19159 


%4~ 


.(6422 


"44." 


5 


.220 


7 / 3l t 


.17710 


"4*+ 


.15180 


«fe.- 


e 


.203 


l V<* 


,1634-1 


%Z+* 


J4-007 


*4* 


fo 


.1875 


V* 


.15092 


s/w.- 


.12936 


% + 


8 


.165 


%*- 


,13282 


%+- 


.11385 


T 4*.+ 


3 


.i4a 


5/3<L- 


.11914- 


Vg- 


.10212 


V64-- 


10 


uL 3 ^ 


9 /«.~ 


■ .10787 


%+ 


.09246 


3 /32 


11 


.120 


'/S- 


.09660 


3 / 32 + 


. 08280 


5 >64+ 


\2 


"l09 


7 /<* 


^08774^ 


%*- 


.01521 


? /64- 


13 


.095 


3/ tt + 


,07647 


%* 


.065S5 


7lb f 


14- 


.083 


5 /<A+ 


.06681 


fc> 


.05727 


7.6 " 


i ,5 - 


.012 


%*- 


.05796 


V»6- 


.0496S 


3 /64+ 


16 


.065 


•to 


.05232 


3 /64t- 


.04485 


V«4- 


17 


.058 


•/,*- 


.04669 


V64 


.04002 


3 /<*-- 


16 


.04-9 


3 /u+ 


.03944 


3 /U~ 


.03381 


l /3Z 


19 


.042 


3 /u- 


.03361 


vt 


.02898 


Vfe" 


20 


.035 


'/3e+ 


.02817 


, /3 i - 


.024-15 


Vst- 


l z\ 


.0 32 


'/3Z + 


.02 576 


v- 


.02208 


'/<*.+ 


^2 


.02 a 


v^ 


.02254 


w-r 


.01932 


'/64-t- 


23 


ozs 


'/3Z- 


,02012 


vut- 


.OI725 


'/64 J 


24- 


.ozz 


'/&*-»- 


.omi 


te* 


.01518 


~%* 



W-A.ROOKL, S.5. 7-15-18 



Note. The Following Table is Based on Formula 
(Bending) Auowruce- rU.0ll5R-f .0055G), 





Flat Pattern 


Length 5 


*T| 






of Steel 


Bent j 


Angles 




When Radius 


OF 25° A. gQ° 
■ Gauge and There, is No Reinforcement 


Col .* 1 


coL.*e 


Cou*3 < 


Iol.^/I- 


Col* 5 


"Col.#6 


|CoL*T| 


BlBMINGHflW 




2.5° Length 


EO° LENGTH J 


Wire Gauge 


f-iQli'-'- 




AppRni rv 


APPK-DY 


! _ ' QnoDn v II 




5. 


Size 


frX Decimal 


fir r r**\J A • 

FRftCT'M 

__ — _ 


Decimal 


■ F(?«CT't1. 


13 


* 


.250 


Va. 


.14-315 


9 /e4-±^ 


J .II50O 


7 /«.+ 


4 




.238 


,5 /^.t 


.13685 


*/<*- 


.10948 


!>■ 


c 


1 


,ZZO 


%'# 


.12650 


'/8 


i .10120 


1^32"^ 


~€ 


> 


.203 


,3 44 


.11672 


7 4»t 


[.09338 


L 3 '* _ 


3 / 


' 


.1815 


, 3 / 16 


.10780 


74* 


.08624 


'{llii- 


8 




.165 


"4*- 


.094-87 


n^ 


[ .07 590 


"^w-1 


c 


\ 


.148 


5 /3Z- 


.08510 


5 /64-+ 


.06806 


'/M.+ 


~~ i< 


-> 


.134- 


9 /U- 


.O7705 


su 


.06164- 


'/*, 


it 


.120 


'*- 


.06900 


'&+ 


.05520 


'/«,- 


12 


.109 


7 /G4. 


.06267 


1 Vfc , 


.05014 


ii^sa 


13 


ffpflB 


3 /3t + 


.0 5462 


■£Z 


j .04310 


3 ^- 


14 


.083 


Vfc*+ 


; 04-112 


^ 


.03816 


fc* 


15 


.072 


_^" 


,04-14-0 


3 4*- 


.03312 


'£ 


16 


.065 


Wt 


.03737 


732 + 


.0 2990 %i 


17 


o58 


'/.e- 


.0 3335 


»Af 


.02666 


vfa- 


18 


.04-9 


3 '64> 


.02317 


%z- 


.022 54 


■'**+ 


19 


.04-2 


3 /64-- 


.02415 


x hz~ 


.01932 


'/«*+ 


20 


.035 


l '*z + 


.02012 


X I<A + 


.01610 


'/«■ 


21 


.032 


V* 


,01840 


'/& + 


.01472 


%i 


22 


.028 


•/ll- i 


,01610 


l U* 


.01288 


144- 


23 


.025 


Vfe- 


.014-37 


l M 


.01150 


'/«■- 


24 


.022 


%*+ 


.01265 


l te- 


.01012 


'**- 





W.A.ROO^; S.B. 7-J5-I8 



Table: or Cori5TAMTS for otlll Omly 



FOR USE. in FORMULA 



BE.P1P1MG ALLOWANCE. - fl (.0)75 R + .0055 6) 
When Radius is Greater Tham Gauge, 



p.w. 
Ga.M* 


SIZ.E. 


CONSTANT 

.0055 q 


Rad. 


Constant p.., Constant 
.0175 R, * AI7 - .0175 R. 


'A 


.250 


.001375 


V& 


,0021875 41/64 ,0112109 


4 


.238 


.001309 


9/64 


.0024609 21/32 .0114843 


5 


.220 


.001210 


5/3Z 


.0027343 43/ 6 4 .01175 78 


6 


.203 


.0011165 


H/64 


• 0030078 11/16 .0120312 


3/16 


.1875 


.0010312 


3/16 


.0032212 45/64 .0123046 


& 


.165 


.0009075 


ll/6~4 


.0035546 23/32 .0125751 


9 


.I4S 


.0008140 


7/3Z 


.0036281 47/64 .0128515 


10 


.134 


.0007370 


15/64 


.004IOf5 3/4 .0131250 


II 


.120 


.0006600 


'/4 


.0043750 49/64 .0133984 


12 


.109 


.0005995 


17/64 


.0046484 2 5 /32 .0136718 


13 


.095 


.0005225 


S/32 


.0049218 5J/64 .0139453 


14 


.083 


.0004565 


19/64 


. 0051953 13/16 .0142187 


I5J 


.072 


.0003960 


5/16 


.0054687 53 /64 .0144921 


16 


• 065 


.0003575 


21/64 


0057421 Z7/3Z .0147656 


17 


.058 


0003190 


H/32 


.006OI56 55/64 .015 0390 


IS 


.049 


.0002695 


23/64 


.0062690 % .0153125 


19 


.042 1 


.0002310 


*M 


.0065625 57/64 .0\55&59 


20 


.035 


.0001925 


25/ 6 4 


.0066359 29/32 .015&593 


21 


.032 


.0001760 


»V32 


.007IO93 59/64 .016132 6 


ZZ 


.028 


.0001540 


27/64 


.0073828 » 5 /j6 .016406Z 


23 


.025 


1.0001375 


7/| 6 


.0076562 6/64 .0166796 


24 


• 022 


.0001210 


29/64 


.0079Z96 31^2 .016953! 






15/32 


.0062031 63/64 .0172265 




Rad. 


CONSTANT 
0175 ft 


31/64 


.0084765 \ .0175000 


wr~ 


.0 067500 l»/6 .0196875 


33/64 


.OOSOZi^ l'/4 -0218750 




'/64 


.OOOZ7343T 


1 17/32 


.0092968 |V& .0240625 




'/3Z 


.00054667 


35/64 


.0095703 P/2 .0262500 




3/64 


.00062031 


9/6 ~ 


.0O96437 \*7& .0284375 




'/1 6 


.00109375 


37/64 


.0I0M7F l 3 /4 .0306250 




5/64 


.001367! 


,9 /3Z 


.0103906 l 7 /6 .0328125 




3/32 


.0016406 


3%4 


.0(06640 2 .035000 


L- 


7/64 


.0019140 


% 


.0109375 



TO IteE. A&OVEL TA5LEL 

Avu Constant (.0055 G) Opposite: Proper 

GAUCE. TO COh5TAnT(.OI75 R) OPPOSITE REQUIRED 

Radius; This Sum Multiplied &y Degrees of 
Bepid &iv£5 Flat Pattern Length. 



W.A.ROOK&; a.B. 7-I0-I& 



LIBRARY OF CONGRESS 



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